Home / 1,535.02-2,300.10-1,533.40

Finding the Fourth Proportional to 1,535.02, 2,300.10 and 1,533.40

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Solution

The fourth proportional to 1,535.02, 2,300.10 and 1,533.40 is: 2,297.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.02 : 2,300.10 = 1,533.40 : x
  2. Step 2: Convert to fraction form
    1,535.02/2,300.10 = 1,533.40/x
  3. Step 3: Cross multiply
    1,535.02x = 2,300.10 × 1,533.40
  4. Step 4: Simplify right side
    1,535.02x = 3,526,973.34
  5. Step 5: Solve for x
    x = 3,526,973.34/1,535.02
  6. Step 6: Final answer
    x = 2,297.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.